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Sets and Relations question

2025 · 23 Jan · Shift 2 · Q39

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2025 · 23 Jan · Shift 2 · Q39

Sets and Relations question

2025 · 23 Jan · Shift 2 · Q39

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

\mathrm{A}=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x+y| \geqslant 3\}

and

\mathrm{B}=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x|+|y| \leq 3\}

. If

\mathrm{C}=\{(x, y) \in \mathrm{A} \cap \mathrm{B}: x=0

or

y=0\}

, then

\sum_{(x, y) \in \mathrm{C}}|x+y|

is :

A
18
B
24
C
15
D
12

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